Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its prime factors it becomes 43*47. Yes, it resolves into 2 CONSECUTIVE 2 digit prime numbers, which does NOT happen that often. The last time this occurred was in 1927 (41 * 47). However these are NOT consecutive prime numbers. (There's another prime number between 41 and 47). If we go back to 1763 (41 * 43), it resolves into two 2-digit CONSECUTIVE primes AND they are TWIN primes (prime numbers with a difference of 2).


And now, here's the question: Can anyone find some interesting factorizations of upcoming years? For example, the year 2033 = 19*107 and the year 2041 = 13*157. In each case the factors are less than 10. Obviously, this is not THE most vital question, so don't spend too much time on it. (Although I've been told that a solution will finally bring about World Peace!!! ) LOL

Answers

Answer 1

Answer:

As 2021 and 1927 does not have any product of primes

HCF and LCM of 2020 and 1926 is shown below

Step-by-step explanation:

2020 = 2^2 × 5 × 101

1926 = 2 x 3^2 x 107

2  is the HCF

2 x 2 x 3 x 3 x 5 x 101 x 107  = 1945260

1945260 is the LCM

2022 and 1928 both have product of primes and their HCF and LCM is

1949208 is the LCF and 2 is the HCF

1949208 - 1945260 = 3948

3948/2 = 1974

2022-1928 = 94

2020 - 1926 = 94

1974/94 = 21

and brings us back to our year again.

Happy New Year to you.


Related Questions

WILL GIVE AS MUCH POINTS AS I CAN BC THIS IS A THROW AWAY ACCOUNT (Nvrm you guys just ganna cop the points and give me a swamp answer). WILL MARK BRAINLYEST.
1) write the equation

2) Generate at least two ordered pairs


1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422.

2) Bob paid a $25 sign-up fee for streaming content, plus $12 per month for his subscription

Answers

Answer:

1 is     6x+4y=422

2 is     (12,25)

i dont think 2 is right im really sorry about that- but im like kinda confident for one. i would also check with someone else tho

Answer:

3fftedvvvte4ffff

Step-by-step explanation:

ggvggrrrvvg

find sq.root of 19.537 by division method?​

Answers

Answer:

4.42 is the answer........

Step-by-step explanation:

Im not sure

ABCDE is a regular pentagon. Find each lettered angle measure.

Answers

Answer:

x° = 36°, y° = 36°, z° = 72°

Step-by-step explanation:

Each interior angle of a regular polygon is given by the following formula;

Interior angle = (n - 2)×180°/n

Where;

n = The number of sides on the polygon

For the pentagon, we have;

n = 5, therefore;

Interior angle = (5 - 2)×180°/5 = 108°

ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;

∠ADC = ∠DAC = x°, and ∠ACD = 108°

Therefore

x° = (180° - 108°)/2 = 36°

x° = 36°

∠BAC = 2·x° + y° = 108°

∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°

y° = 36°

ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each

Therefore, in ΔADE, we have;

z° = (180° - 36°)/2 = 72°

z° = 72°

Factorize: Challenge problem:
x^2+19x+78
help :)

Answers

Answer:

(x + 6)(x + 13)

Step-by-step explanation:

Given

x² + 19x + 78

Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)

The factors are + 6 and + 13 , since

6 ×13 = + 78 and 6 + 13 = + 19 , then

x² + 19x + 78 = (x + 6)(x + 13) ← in factored form

[tex]\bold{ x^2+19x+78 }[/tex]

[tex]\bold{ x^2+13x+6x+78 }[/tex]

[tex]\bold{ x(x+13)+6(x+13) }[/tex]

[tex]\bold{(x+6)(x+13) }[/tex]

Please answer A and B!!!

Answers

Answer:

7 and 2

Step-by-step explanation:

i did this before i know

Macys is having a sale on all shoes, if I buy a pair of boots that are $125 but are now 30% off what is the sale price of the boots?

Answers

$87.5 because 30% of 125 is 37.5 so 125-37.5 is 87.5

can u pls help me with this question ​

Answers

I believe it is 8 if not I’m sorry

Jenny bought a pair of shoes for $49.76 with a 30% off coupon. How much will she pay in total after 7% sales tax?



Answers

Answer: the final price is $37.26

Step-by-step explanation:

Always when we have an increase in a percentage X%, with an initial amount A, the new amount will be:

A + A*(X%/100%)

And for a decrease, the equation is_

A - A*(X%/100%)

Then if the initial price is $49.76, and there is a decrease of the 30%, the new price will be

$49.75 - (30%/100%)*$49.75 = $34.83

Now we have an increase of the 7% because of the IVA, then the final price is:

$34.83 + (7%/100%)*$34.83 = $37.26

Find the value of x.



Group of answer choices

25

40

65

115

Answers

Answer:

40

Step-by-step explanation

x=40 because if you time these in like this:

3(40)-10= 110

40+15=55

If you user 65 it'll be wrong because:

3(65)-10=185    

And the whole thing is only 180 :]

cark earned grades of 62, 78, 59, and 89 on four tests.


what is the mean of his grades​

Answers

Answer:

72

Step-by-step explanation:

mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.

i think the answer is 579

Try it Create 3 different fractions that are equivalent to 0. Press Check after each one. 0 Fractions equivalent 1 4 0 Incorrect. Make sure both bars are shaded equally Check Previous Activity General (Science - S... P Foundational Math .... Marlon Porter Proje.....​

Answers

Answer:

0/2 0/5 0/10

Step-by-step explanation:

Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.

Write the fraction as a decimal

4 -8
11

4 , and 8 over 11


Answers

Answer: 52

Step-by-step explanation:

11×4=44+8=52

Answer:

I'm pretty sure its 4.727

100
3
80
6
60
9
40
20
0
100
web and Windows
BE
a
02 AM
NETT Dann

Answers

Answer:

Uhhhh what?

Step-by-step explanation:

I am confused...

아주 혼란스러워요. 그게 무슨 말이죠? ㅋㅋㅋ

Help me out here pleaseeeeeeeeee

Answers

Just multiply 1/4 times 6

6. What are the dimensions of this matrix?

Answers

Answer:

the dimensions will be 2 x 1

Option C is correct option.

Step-by-step explanation:

We need to determine the dimensions of this matrix [tex]\left[\begin{array}{c}2&\sqrt{5} \end{array}\right][/tex]

The dimensions consists of rows and columns in the form. Rows x Columns

In the given matrix the rows are: 2

The columns are: 1

So, the dimensions will be 2 x 1

Option C is correct option.

What is incorrect About this proof? What needs to be done to correct it?why ?

Answers

I think 3 and 4 are switched. 3 should be side- side-side congruence And 4 should be CPCTC. And in 3rd one it should be triangle ANX equals NBY

What is this? Please answer with an explanation

Answers

At 5 and you do this by setting the inside equal to 0 and solving for x

Answer:

x=9,30............etc

Step-by-step explanation:

if value of x=9 then

the function

value of f(x)=4

if x=30 then value of function f(x)=27

instant help guys please,I need this in about ten minutes.
please help I'll give brainiest to correct answer

3*9^1+X=27^-x.find x​

Answers

Answer:

x=0

Step-by-step explanation:

3*9+x=27-x [9^1=9]

27+x=27-x

27-27= x+x

2x=0

x=0

In a random sample of 300 people in a town, 193 were female. What is the sample portion of female

Answers

Answer: 0.643

Step-by-step explanation:

There are 300 people and 193 were female.

The sample portion that is female is therefore;

= 193/300

= 0.643

ejt-vokv-opj join to teach​

Answers

Answer:

ive seen this before its not to teach what you think stay away from it

Answer:

i thought this was a different language

Step-by-step explanation:

smh

An oxygen mask is placed on a patient. Oxygen is administered to the patient for 5 minutes. Then the oxygen
mask is removed and the amount of oxgyen in the body decreases exponentially. Which graph best describes the
amount of oxygen in the patient's bloodstream beginning with the moment when oxygen is first administered?

Answers

What graph I think you forgot the picture

Plz Help!!!
Will Give Brainliest to the First Person that answers!!!

Answers

Answer:

20

Step-by-step explanation:

Select the correct answer from the drop-down menu.

need help fast please!​

Answers

Answer:

i think its the first one

Step-by-step explanation:

if u subtract it , then it shouldn't be given a + sign at all

it should stay subtraction

have a good day! :)

plz give me brainliest

Answer: -7x to the seventh power+ x

Step-by-step explanation:

Help please stat! Brainlist!

Answers

Answer:  11.71 meters per second.

PLZ CORRECT ME IF I AM WRONG thxs and have a lovely day :)

Step-by-step explanation:

16
NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.

Answers

7.5cm

lets take point K represent lenght from M to perimeter of circle.

r is radius

KM= r-OM= r-4.5cm

now lets draw line from O to A (OA)

we get triangle.

hypotenuse is OA and it equals r(radius)

ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)

use pythaghorean theorem

squares of sides added = square of hypotenuse

20.25+36=r^2(our hypotenuse is radius)

56.25=r^2

r=√56.25=7.5cm

Answer:

The radius of the circle is 7.5 cm

Step-by-step explanation:

Circles and Lines

The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.

We have attached an image with some additional measures to solve the problem.

Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.

The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:

[tex]r=\sqrt{6^2+4.5^2}[/tex]

[tex]r=\sqrt{36+20.25}[/tex]

[tex]r=\sqrt{56.25}[/tex]

[tex]\boxed{r = 7.5\ cm}[/tex]

The radius of the circle is 7.5 cm

Turn 20% and 0.35 into a fraction ( please I’ll mark you brainlest please hurry )

Answers

20% = 1/5

0.35 = 35/100 but simplified is 7/20

I hope this helps, and Happy Holidays! :)

Luis is buying flour for his bakery, and he buys 8 sacks of flour for $25.75 each. He also has to pay $36.50 for delivery. How much is Luis paying in total for his flour order? (pls help this is a test)

Answers

for just the flour he would pay 206$ but for the flour and delivery he would pay 242.50$

There are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants. How many croissants are there?
Group of answer choices

Answers

Answer: There are 990 croissants

Step-by-step explanation:

If 45% of them are pretzels then 55% of the pastries hs to be croissants.

Multiply 55% by the total number of pastries to find the number of croissants.

55% * 1,800 =  990

Help please.....its due today

Answers

Heyyy the error is -X where it happened was they didn’t do -4x-3x which get you -7x it supposed to look like this “2x^2y+xy^2-7x not 2x^2y+xy^2-x

“I hope this help us need anything just come back to me”

A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?

Answers

Answer:

scalene

Step-by-step explanation:

no sides are the same

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